Business Statistics Assignment PDF

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Running head: BUSINESS STATISTICS
BUSINESS STATISTICS
Name of the Student
Name of the University
Author’s Note

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Table of Contents
1.).....................................................................................................................................................2
2.).....................................................................................................................................................2
3.).....................................................................................................................................................3
4.).....................................................................................................................................................4
5.).....................................................................................................................................................4
6.).....................................................................................................................................................6
References........................................................................................................................................7
Appendix..........................................................................................................................................8

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1.)
The company that is being undertaken for analyzing the stock history for past 6 weeks is
Apple Inc.
2.)
The data regarding the opening, closing, high and low values of the stock prices are
downloaded in spreadsheet that can be reflected as follows:
(Source - Finance.yahoo.com. 2018)

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The daily change in the stock prices are calculated and added in the above tables.
3.)
The descriptive statistics based on the deviations in the stock prices and their
corresponding independent change can be incorporated as follows:
Daily Change
Mean -0.1113336
Standard Error 0.496906409
Median 0.400009
Mode #N/A
Standard Deviation 3.333349525
Sample Variance 11.11121905
Kurtosis 0.514718398
Skewness -0.547566773
Range 16
Minimum -9.100006

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Maximum 6.899994
Sum -5.010012
Count 45
It is been found that the mean of the stock prices are -0.111336 while the standard error is
0.496906409. The median of the stock prices are 0.400009. The measure of dispersion is found
through the value of the standard deviation which have its value is 3.333349525 (Shi et al.,
2018). The sample data is of 6 weeks and hence the count came out to be 45 days though the
sample variance is 11.11121905. The value of Skewness and Kurtosis came out to be –
0.547566773 & 0.514718398 respectively. The range of data is 16 while the minimum and
maximum values are – 9.100006 and 6.899994.
4.)
The 5 point summary regarding the quartiles can be represented as follows:
5 Point Summary
Minimum -9.10001
First Quartile -2.07001
Median 0.400009
Third Quartile 2.029999
Maximum 6.899994
5.)
The statistics required for plotting the box & whisker plot can be computed and
represented in tabulated form as follows:
Calculated Statistics for Box & Whisker Plot
Count 45
Minimum -9.100006

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First Quartile -2.207504
Median 0.4250105
Third Quartile 2.04499825
Maximum 6.899994
Standard Error 3.333349525
Mean -0.1113336
2Q Box 2.6325145
3Q Box 1.61998775
Bottom -2.207504
Down Whisker 6.892502
Up Whisker 4.85499575
Interquartile Range 4.25250225
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-9.1
-7.1
-5.1
-3.1
-1.1
0.9
2.9
4.9
Apple Inc. Daily Change in Stock Prices
Bottom
3Q Box
Figure 1: Box & Whisker Plot
From the box & whisker plot shows that the plot is not symmetric.
6.)
The mean value is found to be – 0.1113336 and the value of median is 0.4250105. This
shows the fact that Mean < Median (Abid et al., 2016). The information reveals the fact that the

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daily stock prices are not symmetric. In fact, the plot shows that the plot is slightly left – skewed
(Kafadar, 2014). The assumption that the stock prices are independent to each other may prevail
but the test reveals that the values are not necessarily normally distributed. Rather the
distribution is a skewed distribution (Mertler & Reinhart, 2016). Since the mean is less than the
median hence the skewed distribution is a negatively skewed distribution based on the sample
population of the daily change in the stock prices.

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References
Abid, M., Abbas, N., & Nazir, H. Z. (2016). Improved ratio estimators for the population mean
using non-conventional measures of dispersion. Pakistan Journal of Statistics and
Operation Research, 12(2), 353-367. http://pjsor.com/index.php/pjsor/article/view/1182
Finance.yahoo.com. (2018). Retrieved from
https://in.finance.yahoo.com/quote/AAPL/financials?p=AAPL
Kafadar, K. (2014). Notched box‐and‐whisker plot. Wiley StatsRef: Statistics Reference Online.
https://onlinelibrary.wiley.com/doi/abs/10.1002/9781118445112.stat00467
Mertler, C. A., & Reinhart, R. V. (2016). Advanced and multivariate statistical methods:
Practical application and interpretation. Routledge.
https://content.taylorfrancis.com/books/download?dac=C2016-0-30221-
7&isbn=9781351971676&format=googlePreviewPdf
Shi, J., Luo, D., Weng, H., Zeng, X. T., Lin, L., & Tong, T. (2018). How to estimate the sample
mean and standard deviation from the five number summary?. arXiv preprint
arXiv:1801.01267. https://arxiv.org/abs/1801.01267

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Appendix

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